ΔE 40.5, loose: different enough that you should pick on purpose. Violet Wash is noticeably lighter, cooler than Carroburg Crimson.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 41). Violet Wash is noticeably lighter, cooler than Carroburg Crimson.
The same difference applies the other way round: Carroburg Crimson is noticeably darker, warmer.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Carroburg Crimson on the colour wheel See Violet Wash on the colour wheel
All matches: Carroburg Crimson equivalents · Violet Wash equivalents